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Finding the Fourth Proportional to 336.12, 463.94 and 205.24

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Solution

The fourth proportional to 336.12, 463.94 and 205.24 is: 283.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.12 : 463.94 = 205.24 : x
  2. Step 2: Convert to fraction form
    336.12/463.94 = 205.24/x
  3. Step 3: Cross multiply
    336.12x = 463.94 × 205.24
  4. Step 4: Simplify right side
    336.12x = 95,218.60
  5. Step 5: Solve for x
    x = 95,218.60/336.12
  6. Step 6: Final answer
    x = 283.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.